135 Publications

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[135]
2020 | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
View | DOI | Download Published Version (ext.) | arXiv
 
[134]
2020 | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.
View | Files available | DOI | arXiv
 
[133]
2020 | Preprint | IST-REx-ID: 7901 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” ArXiv, 2005.08933, ArXiv.
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[132]
2020 | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
View | Files available | DOI | arXiv
 
[131]
2020 | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, Springer, 2020, doi:10.1007/s10955-020-02586-0.
View | Files available | DOI | arXiv
 
[130]
2020 | Journal Article | IST-REx-ID: 8134 | OA
Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP, 2020, doi:10.1063/5.0005950.
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[129]
2019 | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP, 2019, doi:10.1063/1.5138135.
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[128]
2019 | Journal Article | IST-REx-ID: 7235 | OA
Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, Springer, 2019, doi:10.1007/s10955-019-02322-3.
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[127]
2019 | Preprint | IST-REx-ID: 7524 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.
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[126]
2019 | Journal Article | IST-REx-ID: 5856 | OA
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015 | OA
Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, APS, 2019, doi:10.1103/physrevb.100.035127.
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[124]
2019 | Journal Article | IST-REx-ID: 80 | OA
Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
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[123]
2018 | Journal Article | IST-REx-ID: 295 | OA
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.
View | Files available | DOI | arXiv
 
[122]
2018 | Journal Article | IST-REx-ID: 154 | OA
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
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[121]
2018 | Journal Article | IST-REx-ID: 180 | OA
Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.
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[120]
2017 | Journal Article | IST-REx-ID: 741 | OA
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
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[119]
2017 | Journal Article | IST-REx-ID: 1198 | OA
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
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[118]
2017 | Journal Article | IST-REx-ID: 1120 | OA
Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.
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[117]
2016 | Journal Article | IST-REx-ID: 1620 | OA
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.
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[116]
2016 | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
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[115]
2016 | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
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[114]
2016 | Journal Article | IST-REx-ID: 1422 | OA
Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
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[113]
2016 | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.
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[112]
2016 | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
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[111]
2016 | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
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[110]
2016 | Journal Article | IST-REx-ID: 1143 | OA
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.
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[109]
2015 | Journal Article | IST-REx-ID: 2085 | OA
Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
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[108]
2015 | Journal Article | IST-REx-ID: 1572 | OA
Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
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[107]
2015 | Journal Article | IST-REx-ID: 1573 | OA
Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
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[106]
2015 | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.
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[105]
2015 | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
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[104]
2014 | Journal Article | IST-REx-ID: 2029 | OA
Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.
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[103]
2014 | Journal Article | IST-REx-ID: 2186 | OA
Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
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[102]
2014 | Journal Article | IST-REx-ID: 2281 | OA
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
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[101]
2014 | Journal Article | IST-REx-ID: 2407 | OA
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:10.1007/s10955-013-0791-z.
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[100]
2014 | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.
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[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
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[98]
2014 | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
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[97]
2014 | Journal Article | IST-REx-ID: 1904 | OA
Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
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[96]
2014 | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
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[95]
2014 | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, no. 1, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
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[94]
2014 | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, Kyung Moon SA, 2014, pp. 1175–94.
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[93]
2014 | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007.
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[92]
2013 | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.
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[91]
2013 | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401.
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[90]
2013 | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, Robert, et al. Disordered Bose-Einstein Condensates with Interaction. World Scientific Publishing, 2013, pp. 610–19, doi:10.1142/9789814449243_0063.
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[89]
2013 | Conference Paper | IST-REx-ID: 2319 | OA
Frank, Rupert, et al. Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction. Springer, 2013, pp. 57–88, doi:10.1007/978-3-0348-0531-5_3.
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[88]
2013 | Journal Article | IST-REx-ID: 2404 | OA
Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:10.1215/00127094-2019477.
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[87]
2013 | Journal Article | IST-REx-ID: 2405 | OA
Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer, 2013, pp. 557–73, doi:10.1007/s00220-012-1604-y.
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[86]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, et al. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics, vol. 217, no. 1, Springer, 2013, pp. 103–07, doi:10.1140/epjst/e2013-01759-5.
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[85]
2013 | Journal Article | IST-REx-ID: 2408 | OA
Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics, vol. 322, no. 2, Springer, 2013, pp. 559–91, doi:10.1007/s00220-013-1736-8.
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[84]
2012 | Conference Paper | IST-REx-ID: 2316 | OA
Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.
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[83]
2012 | Conference Paper | IST-REx-ID: 2317 | OA
Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.
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[82]
2012 | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
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[81]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747.
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[80]
2012 | Journal Article | IST-REx-ID: 2395 | OA
Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
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[79]
2012 | Journal Article | IST-REx-ID: 2396 | OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
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[78]
2012 | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
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[77]
2012 | Book Review | IST-REx-ID: 2398 | OA
Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026.
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[76]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
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[75]
2012 | Journal Article | IST-REx-ID: 2400 | OA
Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
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[74]
2012 | Journal Article | IST-REx-ID: 2401 | OA
Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
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[73]
2012 | Journal Article | IST-REx-ID: 2402 | OA
Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
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[72]
2012 | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
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[71]
2011 | Conference Paper | IST-REx-ID: 2320 | OA
Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.
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[70]
2011 | Conference Paper | IST-REx-ID: 2321 | OA
Frank, Rupert, et al. A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011, pp. 39–44, doi:10.1007/978-3-7643-9994-8_3.
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[69]
2011 | Journal Article | IST-REx-ID: 2390 | OA
Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
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[68]
2011 | Journal Article | IST-REx-ID: 2391 | OA
Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.
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[67]
2011 | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:10.1007/s00220-011-1261-6.
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[66]
2010 | Conference Paper | IST-REx-ID: 2322 | OA
Frank, Rupert, et al. Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities. World Scientific Publishing, 2010, pp. 523–35, doi:10.1142/9789814304634_0045 .
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[65]
2010 | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, Robert. Hot Topics on Cold Gases. World Scientific Publishing, 2010, pp. 231–45, doi:10.1142/9789814304634_0013.
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[64]
2010 | Book Chapter | IST-REx-ID: 2324 | OA
Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6.
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[63]
2010 | Journal Article | IST-REx-ID: 2389 | OA
Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten, vol. 283, no. 3, Wiley-Blackwell, 2010, pp. 489–99, doi:10.1002/mana.200810195.
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[62]
2010 | Journal Article | IST-REx-ID: 2392 | OA
Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters, vol. 104, no. 21, American Physical Society, 2010, doi:10.1103/PhysRevLett.104.210402.
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[61]
2009 | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. “The Stability of Matter in Quantum Mechanics.” The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
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[60]
2009 | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:10.1090/conm/500/09823.
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[59]
2009 | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:10.1007/s10955-009-9718-0.
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[58]
2009 | Journal Article | IST-REx-ID: 2385 | OA
Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.
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[57]
2009 | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.
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[56]
2009 | Journal Article | IST-REx-ID: 2387 | OA
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.
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[55]
2009 | Journal Article | IST-REx-ID: 2388 | OA
Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:10.1109/TIT.2009.2027573.
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[54]
2008 | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, Christian, and Robert Seiringer. Spectral Properties of the BCS Gap Equation of Superfluidity. World Scientific Publishing, 2008, pp. 117–36, doi:10.1142/9789812832382_0009.
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[53]
2008 | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.
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[52]
2008 | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.
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[51]
2008 | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, American Physical Society, 2008, doi:10.1103/PhysRevB.77.184517.
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[50]
2008 | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics, vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:10.1007/s11005-008-0242-y.
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[49]
2008 | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:10.1007/s10955-008-9527-x.
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[48]
2008 | Journal Article | IST-REx-ID: 2379 | OA
Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society, vol. 21, no. 4, American Mathematical Society, 2008, pp. 925–50, doi:10.1090/S0894-0347-07-00582-6.
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[47]
2008 | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics, vol. 281, no. 2, Springer, 2008, pp. 349–67, doi:10.1007/s00220-008-0489-2.
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[46]
2008 | Journal Article | IST-REx-ID: 2381 | OA
Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis, vol. 255, no. 12, Academic Press, 2008, pp. 3407–30, doi:10.1016/j.jfa.2008.05.015.
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[45]
2008 | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics, vol. 284, no. 2, Springer, 2008, pp. 459–79, doi:10.1007/s00220-008-0521-6.
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[44]
2008 | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
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[43]
2007 | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:10.1007/s11005-007-0159-x.
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[42]
2007 | Journal Article | IST-REx-ID: 2370 | OA
Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
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[41]
2007 | Journal Article | IST-REx-ID: 2371 | OA
Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:10.1007/s00220-007-0307-2.
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[40]
2007 | Journal Article | IST-REx-ID: 2372 | OA
Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, American Physical Society, 2007, doi:10.1103/PhysRevA.76.052517.
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[39]
2007 | Journal Article | IST-REx-ID: 2373 | OA
Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis, vol. 17, no. 4, Springer, 2007, pp. 559–67, doi:10.1007/BF02937429.
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[38]
2007 | Journal Article | IST-REx-ID: 2375 | OA
Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:10.1007/s11005-007-0211-x.
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[37]
2006 | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, Élliott, et al. Ground-State Energy of a Dilute Fermi Gas. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:10.1090/conm/412.
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[36]
2006 | Conference Paper | IST-REx-ID: 2334 | OA
Seiringer, Robert, et al. One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:10.1007/s00220-003-0993-3.
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[135]
2020 | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
View | DOI | Download Published Version (ext.) | arXiv
 
[134]
2020 | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.
View | Files available | DOI | arXiv
 
[133]
2020 | Preprint | IST-REx-ID: 7901 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” ArXiv, 2005.08933, ArXiv.
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[132]
2020 | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
View | Files available | DOI | arXiv
 
[131]
2020 | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, Springer, 2020, doi:10.1007/s10955-020-02586-0.
View | Files available | DOI | arXiv
 
[130]
2020 | Journal Article | IST-REx-ID: 8134 | OA
Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP, 2020, doi:10.1063/5.0005950.
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[129]
2019 | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP, 2019, doi:10.1063/1.5138135.
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[128]
2019 | Journal Article | IST-REx-ID: 7235 | OA
Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, Springer, 2019, doi:10.1007/s10955-019-02322-3.
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[127]
2019 | Preprint | IST-REx-ID: 7524 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.
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[126]
2019 | Journal Article | IST-REx-ID: 5856 | OA
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015 | OA
Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, APS, 2019, doi:10.1103/physrevb.100.035127.
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[124]
2019 | Journal Article | IST-REx-ID: 80 | OA
Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
View | Files available | DOI
 
[123]
2018 | Journal Article | IST-REx-ID: 295 | OA
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.
View | Files available | DOI | arXiv
 
[122]
2018 | Journal Article | IST-REx-ID: 154 | OA
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
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[121]
2018 | Journal Article | IST-REx-ID: 180 | OA
Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.
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[120]
2017 | Journal Article | IST-REx-ID: 741 | OA
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
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[119]
2017 | Journal Article | IST-REx-ID: 1198 | OA
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
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[118]
2017 | Journal Article | IST-REx-ID: 1120 | OA
Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.
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[117]
2016 | Journal Article | IST-REx-ID: 1620 | OA
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.
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[116]
2016 | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
View | Files available | DOI
 
[115]
2016 | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
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[114]
2016 | Journal Article | IST-REx-ID: 1422 | OA
Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
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[113]
2016 | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.
View | Files available | DOI
 
[112]
2016 | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
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[111]
2016 | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
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[110]
2016 | Journal Article | IST-REx-ID: 1143 | OA
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.
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[109]
2015 | Journal Article | IST-REx-ID: 2085 | OA
Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
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[108]
2015 | Journal Article | IST-REx-ID: 1572 | OA
Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
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[107]
2015 | Journal Article | IST-REx-ID: 1573 | OA
Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
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[106]
2015 | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.
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[105]
2015 | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
View | Files available | DOI
 
[104]
2014 | Journal Article | IST-REx-ID: 2029 | OA
Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.
View | DOI | Download Submitted Version (ext.)
 
[103]
2014 | Journal Article | IST-REx-ID: 2186 | OA
Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
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[102]
2014 | Journal Article | IST-REx-ID: 2281 | OA
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
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[101]
2014 | Journal Article | IST-REx-ID: 2407 | OA
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:10.1007/s10955-013-0791-z.
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[100]
2014 | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.
View | Files available | DOI
 
[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
View | DOI
 
[98]
2014 | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
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[97]
2014 | Journal Article | IST-REx-ID: 1904 | OA
Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
View | DOI | Download Submitted Version (ext.)
 
[96]
2014 | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
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[95]
2014 | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, no. 1, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
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[94]
2014 | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, Kyung Moon SA, 2014, pp. 1175–94.
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[93]
2014 | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007.
View | DOI | Download Preprint (ext.) | arXiv
 
[92]
2013 | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.
View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401.
View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2013 | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, Robert, et al. Disordered Bose-Einstein Condensates with Interaction. World Scientific Publishing, 2013, pp. 610–19, doi:10.1142/9789814449243_0063.
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Conference Paper | IST-REx-ID: 2319 | OA
Frank, Rupert, et al. Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction. Springer, 2013, pp. 57–88, doi:10.1007/978-3-0348-0531-5_3.
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[88]
2013 | Journal Article | IST-REx-ID: 2404 | OA
Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:10.1215/00127094-2019477.
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[87]
2013 | Journal Article | IST-REx-ID: 2405 | OA
Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer, 2013, pp. 557–73, doi:10.1007/s00220-012-1604-y.
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[86]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, et al. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics, vol. 217, no. 1, Springer, 2013, pp. 103–07, doi:10.1140/epjst/e2013-01759-5.
View | DOI
 
[85]
2013 | Journal Article | IST-REx-ID: 2408 | OA
Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics, vol. 322, no. 2, Springer, 2013, pp. 559–91, doi:10.1007/s00220-013-1736-8.
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[84]
2012 | Conference Paper | IST-REx-ID: 2316 | OA
Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.
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[83]
2012 | Conference Paper | IST-REx-ID: 2317 | OA
Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.
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[82]
2012 | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
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[81]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747.
View | DOI
 
[80]
2012 | Journal Article | IST-REx-ID: 2395 | OA
Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
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[79]
2012 | Journal Article | IST-REx-ID: 2396 | OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
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[78]
2012 | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
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[77]
2012 | Book Review | IST-REx-ID: 2398 | OA
Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026.
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[76]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
View | DOI
 
[75]
2012 | Journal Article | IST-REx-ID: 2400 | OA
Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
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[74]
2012 | Journal Article | IST-REx-ID: 2401 | OA
Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
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[73]
2012 | Journal Article | IST-REx-ID: 2402 | OA
Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
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[72]
2012 | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
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[71]
2011 | Conference Paper | IST-REx-ID: 2320 | OA
Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.
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[70]
2011 | Conference Paper | IST-REx-ID: 2321 | OA
Frank, Rupert, et al. A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011, pp. 39–44, doi:10.1007/978-3-7643-9994-8_3.
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[69]
2011 | Journal Article | IST-REx-ID: 2390 | OA
Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
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[68]
2011 | Journal Article | IST-REx-ID: 2391 | OA
Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.
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[67]
2011 | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:10.1007/s00220-011-1261-6.
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[66]
2010 | Conference Paper | IST-REx-ID: 2322 | OA
Frank, Rupert, et al. Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities. World Scientific Publishing, 2010, pp. 523–35, doi:10.1142/9789814304634_0045 .
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[65]
2010 | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, Robert. Hot Topics on Cold Gases. World Scientific Publishing, 2010, pp. 231–45, doi:10.1142/9789814304634_0013.
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[64]
2010 | Book Chapter | IST-REx-ID: 2324 | OA
Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6.
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[63]
2010 | Journal Article | IST-REx-ID: 2389 | OA
Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten, vol. 283, no. 3, Wiley-Blackwell, 2010, pp. 489–99, doi:10.1002/mana.200810195.
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[62]
2010 | Journal Article | IST-REx-ID: 2392 | OA
Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters, vol. 104, no. 21, American Physical Society, 2010, doi:10.1103/PhysRevLett.104.210402.
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[61]
2009 | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. “The Stability of Matter in Quantum Mechanics.” The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
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[60]
2009 | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:10.1090/conm/500/09823.
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[59]
2009 | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:10.1007/s10955-009-9718-0.
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[58]
2009 | Journal Article | IST-REx-ID: 2385 | OA
Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.
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[57]
2009 | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.
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[56]
2009 | Journal Article | IST-REx-ID: 2387 | OA
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.
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[55]
2009 | Journal Article | IST-REx-ID: 2388 | OA
Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:10.1109/TIT.2009.2027573.
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[54]
2008 | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, Christian, and Robert Seiringer. Spectral Properties of the BCS Gap Equation of Superfluidity. World Scientific Publishing, 2008, pp. 117–36, doi:10.1142/9789812832382_0009.
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[53]
2008 | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.
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[52]
2008 | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.
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[51]
2008 | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, American Physical Society, 2008, doi:10.1103/PhysRevB.77.184517.
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[50]
2008 | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics, vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:10.1007/s11005-008-0242-y.
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[49]
2008 | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:10.1007/s10955-008-9527-x.
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[48]
2008 | Journal Article | IST-REx-ID: 2379 | OA
Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society, vol. 21, no. 4, American Mathematical Society, 2008, pp. 925–50, doi:10.1090/S0894-0347-07-00582-6.
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[47]
2008 | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics, vol. 281, no. 2, Springer, 2008, pp. 349–67, doi:10.1007/s00220-008-0489-2.
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[46]
2008 | Journal Article | IST-REx-ID: 2381 | OA
Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis, vol. 255, no. 12, Academic Press, 2008, pp. 3407–30, doi:10.1016/j.jfa.2008.05.015.
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[45]
2008 | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics, vol. 284, no. 2, Springer, 2008, pp. 459–79, doi:10.1007/s00220-008-0521-6.
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[44]
2008 | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
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[43]
2007 | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:10.1007/s11005-007-0159-x.
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[42]
2007 | Journal Article | IST-REx-ID: 2370 | OA
Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
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[41]
2007 | Journal Article | IST-REx-ID: 2371 | OA
Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:10.1007/s00220-007-0307-2.
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[40]
2007 | Journal Article | IST-REx-ID: 2372 | OA
Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, American Physical Society, 2007, doi:10.1103/PhysRevA.76.052517.
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[39]
2007 | Journal Article | IST-REx-ID: 2373 | OA
Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis, vol. 17, no. 4, Springer, 2007, pp. 559–67, doi:10.1007/BF02937429.
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[38]
2007 | Journal Article | IST-REx-ID: 2375 | OA
Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:10.1007/s11005-007-0211-x.
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[37]
2006 | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, Élliott, et al. Ground-State Energy of a Dilute Fermi Gas. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:10.1090/conm/412.
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[36]
2006 | Conference Paper | IST-REx-ID: 2334 | OA
Seiringer, Robert, et al. One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:10.1007/s00220-003-0993-3.
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